A7 - of f x,y on the curve y = √ 1-2 x 2 b Let R be the region bounded by the curve y = √ 1-2 x 2 and the x-axis Find the maximum and minimum

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Math 237 Assignment 7 Due: Friday, Nov 12th 1. Find and classify the critical points of f ( x,y ) = ( x + y )( xy + 1). 2. Find the maximum and minimum of f ( x,y ) = x 3 - 3 x + y 2 + 2 y on the region bounded by the lines x = 0, y = 0, x + y = 1. 3. Find the points on the surface z = x 2 + y 2 that is closest to the point (1 , 1 , 0). 4. Let f ( x,y ) = x 2 + y 2 - 1 2 y . a) Use the method of Lagrange multipliers to find the maximum and minimum points
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Unformatted text preview: of f ( x,y ) on the curve y = √ 1-2 x 2 . b) Let R be the region bounded by the curve y = √ 1-2 x 2 and the x-axis. Find the maximum and minimum value of f ( x,y ) on the region R ....
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This note was uploaded on 12/10/2010 for the course MATH 237 taught by Professor Wolczuk during the Spring '08 term at Waterloo.

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